Simple cosmological de Sitter solutions on dS${}_4\times Y_6$ spaces

Abstract

Explicit time-dependent solutions of the 10D vacuum Einstein equations are found for which spacetime is compactified on six-dimensional warped spaces. We explicitly work out an example where the internal manifold is a six-dimensional generalized space having positive, negative or zero scalar curvature, whose base can be a five-sphere $S^5$ or an Einstein space $T^{1,1}=(S^2\times S^2)⋊S^1$. In this paper, inflationary de Sitter solutions are found just by solving the 10D vacuum Einstein equations. Our results further show that the limitation with warped models studied to date has arisen partly from an oversimplification of the 10D metric ansatz. We also give some explicit examples of a non-singular warped compactification on de Sitter space dS${}_4$.

15 pages, no figures; matches published version

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• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Inflation from Wrapped Branes
• Accelerating Universes from Compactification on a Warped Conifold
• Oxidised cosmic acceleration
• Extra dimensions, warped compactifications and cosmic acceleration
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Cited by in corpus (9)

• de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
• De Sitter brane-world, localization of gravity, and the cosmological constant
• Warped Ricci-flat reductions
• Warped compactification to de Sitter space
• The warping of extra spaces accelerates the expansion of the universe
• Warped compactification on curved manifolds
• Constraining the runaway dilaton and quintessential dark energy
• Universe Acceleration in Brane World Models
• We Probably Live On An Inflating Brane-World